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Finding the Fourth Proportional to 39,200, 58,800.96 and 10,016

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Solution

The fourth proportional to 39,200, 58,800.96 and 10,016 is: 15,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200 : 58,800.96 = 10,016 : x
  2. Step 2: Convert to fraction form
    39,200/58,800.96 = 10,016/x
  3. Step 3: Cross multiply
    39,200x = 58,800.96 × 10,016
  4. Step 4: Simplify right side
    39,200x = 588,950,415.36
  5. Step 5: Solve for x
    x = 588,950,415.36/39,200
  6. Step 6: Final answer
    x = 15,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.